1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

If $a, b, c, d$ be four positive unequal quantities and $s=a+b+c+d$, then $(s-a)(s-b)(s-c) (s-d)>k a b c d$. Then, value of $k$ is

A

3

B

27

C

36

D

81

2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If $ a > 0, b > 0, c > 0 $ and $ a, b, c $ are distinct, then $ (a+b)(b+c)(c+a) $ is greater than
A
$ 2(a+b+c) $
B
$ 3(a+b+c) $
C
$ 6 a b c $
D
$ 8 a b c $
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If $ \sum\limits_{k=1}^{n} k(k+1)(k-1)=p n^{4}+q n^{3}+t n^{2}+s n $, where $ p, q, t $ and $ s $ are constants, then the value of $ s $ is equal to
A
$ -\frac{1}{4} $
B
$ -\frac{1}{2} $
C
$ \frac{1}{2} $
D
$ \frac{1}{4} $
4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
There are four numbers of which the first three are in GP and the last three are in AP, whose common difference is 6 . If the first and the last numbers are equal, then two other numbers are
A
$ -2,4 $
B
$ -4,2 $
C
2,6
D
None of the above

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